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Lesson 3: The Compton Effect 18. In any elastic collision, what two things are conserved? 19. How did Compton explain that photons have a momentum if they have no mass? What is the mass equivalent of a photon? 20. Discuss how Compton scattering shows that it is impossible to "see" an electron without disturbing the electron. 21. What is the momentum of a photon with a frequency of 9.65 x 1014 Hz? (2.13 x 10 27 kg.m/s) 22. If the energy of a photon is 225 keV, what is its momentum? (1.20 x 10-22 kg.m/s) 23. A photon with a wavelength of 2.00 x 10-1 m collides with a stationary electron. As a result the electron moves off with a speed of 2.90 x 10' m/s. What is the wavelength and angle of the scattered photon? (2.08 x 10-11 m, 48.0") 24. A photon with a wavelength of 2.300 x 10 1 m collides with a stationary electron. If the scattered photon has a frequency of 1.154 x 1019 Hz, what is the resulting speed of the electron? (4.68 x 10' m/s) 25. An x-ray collides with a stationary electron. What is the change in the wavelength of an x-ray if it is scattered through an angle of 120'? (3.64 x 10-12 m)26. A photon can undergo Compton scattering from a molecule such as nitrogen (N2) just as it does from an electron. However, the change in photon wavelength is much less than when an electron is scattered. Using COmpton's equation for nitrogen instead of an electron, explain why the maximum change in wavelength for a scattered photon is less for nitrogen then for an electron. ( Aim" = 4.85x 10 \"m. Aim": = 9.45 x10 "m ) 2?. Determine the velocity of the scattered electron. As part of your response, sketch the situational diagram showing the path ofthe scattered electron, sketch a vector addition diagram consistent with the vector analysis method you are choosing, and state all necessary physics principles and formulas. Use the following information to answer this question. In an observation of the Compton effect a photon is incident on a free electron. The scattered photon is detected, as illustrated below. The scattered electron is not shown. Before After Stationary Path 0' [rec ekcunn .- Incident [him is\": g=i.?5xili\"'m / Path ol scattered plum lf=161ullrclxw i, = s 02 3: Hr\"! Lesson 3: The de Broglie Wavelength 28. What is the wavelength associated with an electron that is traveling at 1.23 x 10" mils? {5.92 x 10'10 m) 29. Compute the wavelength associated with an electron with a kinetic energy of 1.14 x 10'15 J. (1.45 x 10'11 m} 30. A billiard ball of mass 0.20 kg moves with a speed of 1.0 mfs. What is its de Broglie wavelength? (3.3 x 10'33 m) 31. An electron is accelerated from rest through a potential difference of 100 V. What is the associated de Broglie wavelength of the electron? (1.23 x 10'10 m) 32. In a Young's double-sit experiment performed with electrons, the two slits are separated by a distance of 2.0 it 10'6 m. The first-order bright fringes are located on the observation screen at an angle of 3.52 x 10'3 degrees. Find the wavelength and momentum of the electrons. (1.23 x 10'10 m, 5.40 x 10'2\" kg'mfs)